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Finding the Fourth Proportional to 344,856.24, 475,846.76 and 193,924.08

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Solution

The fourth proportional to 344,856.24, 475,846.76 and 193,924.08 is: 267,584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,856.24 : 475,846.76 = 193,924.08 : x
  2. Step 2: Convert to fraction form
    344,856.24/475,846.76 = 193,924.08/x
  3. Step 3: Cross multiply
    344,856.24x = 475,846.76 × 193,924.08
  4. Step 4: Simplify right side
    344,856.24x = 92,278,145,153.98
  5. Step 5: Solve for x
    x = 92,278,145,153.98/344,856.24
  6. Step 6: Final answer
    x = 267,584.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.